Abstract

Deep learning has been employed to prognostic and health management of automotive and aerospace with promising results. Literature in this area has revealed that most contributions regarding deep learning is largely focused on the model’s architecture. However, contributions regarding improvement of different aspects in deep learning, such as custom loss function for prognostic and health management are scarce. There is therefore an opportunity to improve upon the effectiveness of deep learning for the system’s prognostics and diagnostics without modifying the models’ architecture. To address this gap, the use of two different dynamically weighted loss functions, a newly proposed weighting mechanism and a focal loss function for prognostics and diagnostics task are investigated. A dynamically weighted loss function is expected to modify the learning process by augmenting the loss function with a weight value corresponding to the learning error of each data instance. The objective is to force deep learning models to focus on those instances where larger learning errors occur in order to improve their performance. The two loss functions used are evaluated using four popular deep learning architectures, namely, deep feedforward neural network, one-dimensional convolutional neural network, bidirectional gated recurrent unit and bidirectional long short-term memory on the commercial modular aero-propulsion system simulation data from NASA and air pressure system failure data for Scania trucks. Experimental results show that dynamically-weighted loss functions helps us achieve significant improvement for remaining useful life prediction and fault detection rate over non-weighted loss function predictions.

Highlights

  • Prognostic and health management (PHM) has become increasingly important in maintaining the integrity of automotive, aerospace, and manufacturing systems [1,2,3,4]

  • In addition to the proposed weighted loss function, an existing dynamically weighted loss function, focal loss [11] (FL), that is designed for predicting probabilistic outputs which are more suited for diagnostics task such as fault detection were investigated

  • This paper demonstrated that the PHM of a gas turbine engine and air pressure system (APS) system were improved by using deep learning models with a dynamically weighted loss function that focused on instances that were poorly learned during the training process

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Summary

Introduction

Prognostic and health management (PHM) has become increasingly important in maintaining the integrity of automotive, aerospace, and manufacturing systems [1,2,3,4]. The weighted loss function proposed works by generating a weight map [10], which is calculated based on the predicted value and error obtained for each instance This method is applicable to both prognostic and diagnostic tasks. The performance of the new approach is examined by observing deep learning models’ predictive performance for two case studies: (1) Gas turbine engine remaining useful life (RUL) prediction using commercial modular aero-propulsion system simulation (CMAPSS) with the weighted loss function proposed in this paper and (2) air pressure system (APS) fault detection in trucks using the FL. It introduces the deep learning architectures used in this paper together with a review of their applications to PHM.

Background
How Neural Network Learning Is Performed
Deep Feedforward Neural Network
Convolutional Neural Networks
Long Short-Term Memory
Gated Recurrent Unit
Current Deep Learning Solutions
Proposed Dynamically Weighted Loss Function
Focal Loss Function
Data Description
Data Preprocessing
Deep Learning Architectures Investigated
Evaluation Metrics
Deep Learning Architectures
Case Study 1
Case Study 2
Conclusions and Future Work

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